Correct Answer - Option 2 : 28
Given:
ΔXYZ ∼ ΔABC
XY = 12 cm, YZ = 16 cm and AB = 21 cm
Concept used:
If, ΔXYZ ∼ ΔABC, then
(XY/AB) = (YZ/BC) = (ZX/CA)
Calculation:
According to the question, we have
ΔXYZ ∼ ΔABC
⇒ (XY/AB) = (YZ/BC)
⇒ 12/21 = 16/BC
⇒ BC = (21 × 16)/12
⇒ BC = 28
∴ The value of BC is 28 cm